Arithmetic Progressions (IMO Mathematics Olympiad Class 10): Questions 1  6 of 84
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Question number: 1
» Arithmetic Progressions
Question
A number 32 is divided into four parts that are in A. P. such that the product of the first and fourth is to the product of the second and third is . Find the lowest part.
Choices
Choice (4)  Response  

a.  6 

b.  2 

c.  10 

d.  14 

Question number: 2
» Arithmetic Progressions
Question
If the sum of three consecutive terms of an increasing A. P. is 30 and the product of the first and third of these terms is 75, then the third term is ________
Choices
Choice (4)  Response  

a.  32 

b.  19 

c.  27 

d.  15 

Question number: 3
» Arithmetic Progressions
Question
If the sum of three consecutive terms of an increasing A. P. is 51 and the product of the first and third of these terms is 273, then the third term is ________
Choices
Choice (4)  Response  

a.  9 

b.  13 

c.  17 

d.  21 

Question number: 4
» Arithmetic Progressions
Question
Between the numbers 4 and 40, 18 means (such that 10 numbers are in arithmetic progression) are inserted, then their sum is ________
Choices
Choice (4)  Response  

a.  526 

b.  603 

c.  836 

d.  881 

Question number: 5
» Arithmetic Progressions
Question
The number of terms common between the two series Up to 20 terms and the series up to 30 terms is ________
Choices
Choice (4)  Response  

a.  18 

b.  17 

c.  10 

d.  16 

Question number: 6
» Arithmetic Progressions
Question
A number 144 is divided into four parts that are in A. P. such that the product of the first and fourth is to the product of the second and third is . Find the largest part.
Choices
Choice (4)  Response  

a.  48 

b.  56 

c.  54 

d.  46 
